The probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.
The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one
; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.
the probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
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Select the correct answer. Solve the quadratic equation by factoring.
9x -16 = 0
Answer:
x = 16/9
Step-by-step explanation:
9x -16 = 0
9x = 16
x = 16/9
Let's check
9(16/9) -16 = 0
144/9 - 16 = 0
16 - 16 = 0
0 = 0
So, x = 16/9 is correct!
Answer:
Step-by-step explanation:
9x = 16
x = 16/9
The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Straight line has the equation is, y = 5x - 4.
What is a straight line's mathematical equation?An endless number of points that are connected on both sides of the point make up a straight line.
The slope of a straight line, "m," is determined by:
m = y2 - y1 / x2 - x1
A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.
The graph's acquired points are (0,-4) and (1,1)
The slope is ,
m = 1-(-4) / 1-0
= 5/1
= 5
The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.
⇒ y = mx + c
⇒ y = 5x + (-4)
⇒ y = 5x - 4
As a result, y = 5x - 4 is the equation for the straight line depicted below.
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PLEASE HELP ASAP, I WILL MARK YOU BRAINBLIEST <3 TYSM
The answers to each part is mentioned below.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is a straight line problem as shown in the question.
( 1 ) -(a) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
1 ounce of honey will cost - (5.4/12)
Cost of 1 oz honey will be - $(0.45)
(b) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
For $1, you can buy - (12/5.4) oz of honey.
Amount of honey bought in 1 dollar - 2.22 ounces
(c) -
We can write the equation as -
c = 0.45h
(d) -
The graph for this function is attached with the answer.
Therefore, the answers to each part is mentioned above.
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What is the coefficient of x² in 3x 5?
The coefficient of the variable x² in the expression 3x+5 is 0
Given that,
The expression is 3x+5
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x+5 is 0
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x+5 is 0.
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The angles of a triangle measure 88°, 53°, and 39º. Which of the following could NOT be the measure of an exterior angle of the triangle?
Answer:35° being the smallest interior angle of the triangle, the exterior angle attached to it is the largest. It measures 180° - 35° = 145°.p.
Step-by-step explanation:
How do you tell if a system of equations has no solution or infinitely many?
If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.
Without graphing, how can you determine if a system of equations has one solution or an infinite number of solutions?You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.
What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.
A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.
solution - all linear equations intersect or intersect at some point in space
No Solution - System is inconsistent and not all linear equations intersect or intersect.
Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.
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Adrian and Rory started comic book collections at the same time. Adrian started with 12 comic books and buys 4 more each month. Will they ever have the same number of comic books ? If so after how many months ? Use an equation to justify your answer
No, Both will not have the same amount of comic books because they add the same number each month.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Adrian started with 12 comic books and buys 4 more each month.
Rory started with 8 comic books and buys 4 more each month.
let x be the number of books.
A(x) = 4x+12
Rory starts with 8 comic books and add 4 comic books each month.
R(x) = 4x+8
Hence, Both will not have the same amount of comic books because they add the same number each month. There will be 4 additional comic books for Adrian.
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What is the difference between the high and low temp in the thermometer?
*
Captionless Image
The difference between the two given temperature values is 24 °F
How are Kelvin, Celsius, and Fahrenheit related?We have got an equation that can relate these three units of measurement of temperature, as given below:
c/5 = (F - 32)/9= (K - 273)/5
where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.
The given parameter the lowest temperature = -3 °F
the highest temperature = 21 °F
To determine the difference between the two given temperature values.
The range or difference between the two given temperature values is calculated as follows;
Range = highest - lowest
Range = 21 °F -(-3 °F)
Range = 24 °F
Thus, the difference between the two given temperature values will be 24 °F
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Tina's favorite shade of teal is made with 777 milliliters of blue paint for every 555 milliliters of green paint. Tyler's favorite shade of teal is made with 555 milliliters of blue paint for every 777 milliliters of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal
Comparing the volume of the paints used and analyzing the proportions, The answer is Tina's shade is more blueish and Tyler's shade is more greenish.
What do you mean by ratio?A ratio is a way to compare two or more numbers or amounts. It tells you how much bigger or smaller one number is compared to the other. It is often written as two or more numbers separated by a colon, such as "3:5" or "2:4:6". For example, if a recipe calls for 2 cups of sugar to 4 cups of flour, the ratio would be 2:4. This means for every 2 cups of sugar, there are 4 cups of flour. It's a way to express a relationship between values or quantities and it helps to understand the proportion of one value to the other values.
What do you mean by proportions?Proportion is a relationship between two or more values or quantities that compares their sizes. It's a way of saying that two or more values are equal in some way. It can be written as an equation, such as "a/b = c/d", which means that the ratio of a to b is equal to the ratio of c to d. In other words, the proportion states that two or more ratios are equal to each other. For example, if a cake recipe calls for 2 cups of sugar to 4 cups of flour, the proportion would be 2/4 = 1/2. This means that for every 2 parts of sugar, there are 4 parts of flour, which can be written as a ratio 2:4 .
Tina's ratio of blue paint to green paint = 777:555
Tyler's favorite shade has a ratio = 555:777.
The ratio for Tina's shade is greater than 1 .
while the ratio for Tyler's shade is less than 1.
So Tina's shade is more blueish and Tyler's shade is more greenish.
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On Tuesday Leah bought four hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 13 left. How many did she have on Monday? W: 22 hats N: 20 hats M: 10 hats O: 5 hrs
The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.
How to find the number of hats ?If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :
= 13 hats x 2
= 26 hats
Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :
= Total hats - Hats purchased on Tuesday
= 26 - 4
= 22 hats
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Marcy made a lane change when. A car was in her side mirror blind spot. She missed the car but immediately crashed into the car ahead of her, causing damage. After Marcy filed the insurance claim, she was notified that her premium for full insurance would increase by 35% what is Marcy new yearly premium if her premium before the accident was $2,140
Peter insurance company is raising his rates after he files a claim . He pays $75 per month and his insurance is set to increase by 30% . What will Peters new monthly premium be ?
Kevin purchases a truck for $35,000 with a down payment of $4,300 . The monthly payment factor is 0.01933. What is the monthly payment for the truck ?
On solving the provided question, we can say that By percentage, the amount that will be covered in the insurance = $749
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a the fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
By percentage.,
35% 0f 2140 =
35/100 X 2140 = 0.35*2140 = $749
the amount that will be covered in the insurance = $749
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Explain how finding the area of a
rectangle with whole-number side lengths compares to finding the are
of a rectangle with fractional side lengths.
The area of rectangle with side whole number = ab sq. units,
and area of rectangle with fraction side = ac/bd sq. units.
What is rectangle?A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides.
Given to find the area of rectangle,
Area of rectangle is given by product of length and width.
A = l x b
Let the dimensions of a rectangle are all whole numbers, a by b
Area = a x b
A = ab sq. units
another rectangle with dimensions all fractions say, a/b by c/d .
Area = a/b x c/d
A = ac/bd sq. units
In all situations, the area of the rectangle must be calculated by multiplying its length and breadth.
Hence the area of rectangle is product of length to width in both cases.
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Tyler is flying a kite on 100 feet spring how high is it above the ground if the horizontal distance between Tyler and the kite is 600 feet
If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.
Pythagorean theoremPythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.
The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.
Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
We apply the Pythagorean Theorem to determine the kite's height, h
the problem can solve if the kite is 60feet
[tex]h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80[/tex]
h =80 ft (we take the positive solution since the height can not be negative number)
The kite is 80 ft above the ground.
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A line has a slope of 2 and a y-intercept of 0. What is its equation in slope-intercept form
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = 2
y-intercept = b = 0
y = 2x + 0
y = 2x
What are interval examples?
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval NotationInterval notation is a simplified way of describing a particular interval. Let’s see how it’s done.
Step 1: We write the first and last number of the interval, which are the endpoints of the interval. For example, if the interval is from 6 to 20, we write 6, 20.
Step 2: We use a round or square bracket on each side of the two numbers. We use:
A square bracket [ ], if we want to include the endpoints
A round bracket ( ), if we don’t want to include the endpoints
So in this example, we use:
[6, 20] if the interval includes 6 and 20(6, 20) if the interval excludes 6 and 20 (6, 20] if the interval excludes 6 but includes 20[6, 20) if the interval includes 6 but excludes 20 Types of IntervalsSo, we can see that some intervals include the endpoints, some partially include them, and some do not include them. Based on this, there are three types of intervals
These are:
Open intervalClosed intervalHalf-open and half-closed intervalOpen IntervalThis type of interval does not include the endpoints. For example, (5, 10) does not include endpoints 5 and 10.
Closed IntervalThis type of interval includes the endpoints. For example, [4, 9] includes the endpoints 4 and 9.
Half-Open and Half-Closed IntervalThis type of interval includes only one of the endpoints.
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Match the solution to its expression.
Answer:
1/3 + 1/3 = (1+1)/3 = 2/3
1) 2/3
5/7 - 2/7 = (5-2)/7 = 3/7
2) 3/7
so all you have to do is add or sub the fractions together.
1/3 + 1/3 = 2/3
5/7 - 2/7 = 3/7
for the first box is 2/3
Second box is 3/7
GOODLUCK
Solve for x 3 /11 = x /3 Give your answer as a fraction in its simplest form.
Answer: x 33/5
Step-by-step explanation:
Answer: 9/11
Step-by-step explanation:
Step 1: Cross-multiply.
3/11 = x/3
(3)*(3) = x*(11)
9 = 11x
Step 2: Flip the equation.
11x = 9
Step 3: Divide both sides by 11.
11x/11 = 9/11
x = 9/11
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
On solving the provided question, we can say that - here in graph we have on solving equation [tex]x^2+ 3y^2 \\[/tex] = [tex]4+3 = 7[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here-
from graph, x= 2
y = 1
[tex]x^2+ 3y^2 \\[/tex]
[tex]4+3 = 7[/tex]
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-1.8 × (-9.3)
How do I find this with the whole equation written out show your work of how you do this please
Answer:
16.74
Step-by-step explanation:
-1.8 times -9.3 will have a positive answer because 2 negative numbers will have a positive sum
-1.8
x -9.3
---------
5 4
1 6 2 0
---------
1 6 7 4 ||| add two decimal spaces
16.74
What is the factor of 3x² 12xy?
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. Finally, we divide the y terms, y divided by y is 1. Therefore, the factor of 3x² 12xy is 3x².
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. This means that the x part of the factor is 3x. Next, we divide the y terms, y divided by y is 1. This means that the y part of the factor is y. When we combine the two parts, 3x and y, we get the factor of 3x². Therefore, the factor of 3x² 12xy is 3x². This means that 3x² is a factor of 12xy, which can be seen by multiplying 3x² by 4y, which results in 12xy. This shows that 3x² is a factor of 12xy.
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The two congruent angles of an isosceles triangle are called _____ angles.
Answer:
isosceles triangles have two congruent acute angles
Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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A tudent council ell 48 badge for $432. Which equation repreent the relationhip of x badge to y dollar
The equation that represents the relationship of x number of badges to y dollars is y = 9x.
What is an equation?
A mathematical statement called an equation displays the equality of two mathematical expressions. Variables, coefficients, exponents, arithmetic operators, equal signs, and constants are some of the components that make up an equation.
An equation is said to be linear if the maximum power of the variable is consistently 1.
Let the number of badges be x and the cost of x number of badges be y.
From the question, we know that for 48 badges, the cost is $432.
So the cost of one badge = 432/48 = $9
Now the cost of x number of badges = $(9x)
We mentioned in the beginning that the cost of x number of badges is y
Therefore the equation that represent the relationship of x badge to y dollars is,
y = 9x
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A child pushes a toy car with a force of 5. 25 N a distance of 6. 5 m. The car rolls for a total distance of 32 m. How much work is done on the toy car? Need formula and the way the work is done, ASAP
The work done on the toy car is 164.4 J.
The formula for work is:
Work = force * distance
In this case, given that:
Force = 5.2 N
Distance = 32 m
So, the work is:
Work = force * distance
Work = 5.2 * 32
Work = 166.4 J
Hence, the work done is 164.4 J.
What is work vs force?Force is described as the rate of change of momentum with respect to time, in which momentum is mass multiplied by velocity. Work is the product of displacement and the component of force in the direction of displacement. When work is done, then the kinetic energy of an object changes.
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Is 2x 3y linear equation?
Therefore .as a result the supplied linear equation problem's solution is shown to be a linear equation with two variables.
Define a linear equation.Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is classified as linear. The equation is written as Y=mx+b, where m denotes the slope and b
Here,
Assumed: 2x + 3Y = 0.
As a result, the following equation can be used to determine whether it is linear in two variables.
As x is the sole variable, as can be seen.
Therefore, it is a two-variable linear equation.
As a result, the supplied linear equation problem's solution is shown to be a linear equation with two variables.
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What is y 0 on a graph?
y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
What is linear equation ?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.
Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.
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What is the size of the augmented matrix for the linear system?
The augmented matrix, however, is a two-by-four matrix because it also contains the constants.
What do you meant by augmented matrix for the linear system?The augmented matrix will always include one additional column for every additional variable, and the same number of rows as there are equations. An easier technique to write a set of linear equations is to utilize enhanced matrices.
In an augmented matrix, two sides of the matrix are separated by a vertical line that serves as a representation of a succession of equal signs. The collection of linear equations, for instance, would be represented by the matrix. There is only ever one pivot in a column.
For (c): Three rows and four columns make up the augmented matrix of this system. As a result, it only has three pivot points at most. Thus, a pivot column cannot be represented by a single variable.
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Answer:
What is the size of the augmented matrix for the linear system?
B) 2x3
Identify the values for the elements in the augmented matrix:
a11 = 3
a12 = 7
a13 = 20
a21 = 1
a22 = -4
a23 = 9
Step-by-step explanation:
how do i solve this?
Answer:
Degree: 4
Number of terms: 4
Leading Coefficient: 4
Constant: -20
Step-by-step explanation:
1) Expand (x+3)(x-4) into x^2 - x - 12
2) Combine like terms; equation becomes 4x^4 + x^2 + 4x - 20
3) Degree is looking for the highest exponent; in this case, it's 4
4) Number of terms is looking for how many terms there are in this equation; there are 4 terms
5) Leading Coefficient is looking for the coefficient of the term with the highest exponent, so the answer is 4
6) Constant is looking for the term without a variable
Hope this helps!
How can you differentiate best time worst time and average time of an algorithm?
You can differentiate best time, worst time and average time of an algorithm like this:
Best time = fastest completion time with optimal inputs.
Worst time = slowest completion time, with pessimistic inputs.
Average time = arithmetic mean
What is Average case?The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.
There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.
Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.
Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.
What is average case complexity
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In 2010, the population of a city was 191,000. From 2010 to 2015, the population grew by 3.9%. From 2015 to 2020, it fell by 3.3%. To the nearest 100 people, what was the population in 2020?
Answer:
The population by 2020 is 191,900
Step-by-step explanation:
Given that;
population 2010 (population in 2010): 191000
the population grew from 2010 to 2015: by 3.9%
so, population by 2015 = [tex]191000(1 + \frac{3.9}{100})[/tex]
= [tex]191000(1 + 0.039)[/tex]
= [tex]191000(1.039)[/tex]
= [tex]198449[/tex]
the population drop from 2015 to 2020: 3.3%
so, population by 2015 = [tex]198449(1 - \frac{3.3}{100})[/tex]
= [tex]198449(1 - 0.033)[/tex]
= [tex]198449(0.967)[/tex]
= [tex]191,900.183[/tex]